Answer: 61
The explanation is shown below:
1. By definition, the consecutive angles of a parallelogram are sumplementary, which means that the sum is 180 degrees. And the opposite angles are congruent.
2. Based on this, you have:
[tex](x+y)+y=180[/tex] and [tex](2x+3)+z=180[/tex]
3. [tex]z[/tex] and [tex]y[/tex] are opposite, therefore:
[tex]z=y[/tex]
So:
[tex](2x+3)+y=180[/tex]
4. Solve for [tex]x[/tex] in the equation [tex](x+y)+y=180[/tex] and substitute it into [tex](2x+3)+y=180[/tex]:
[tex]x+2y=180\\x=180-2y[/tex]
[tex]2(180-2y)+3+y=180[/tex]
5. Solve for [tex]y[/tex]:
[tex]360-4y+3+y=180\\-3y=180-363\\y=61\\z=61[/tex]
